18. two objects, x and y. accelerate from rest with the same constant acceleration. object x accelerates for
twice the time as object y. which of the following is true of these objects at the end of their respective
periods of acceleration?
a. object x is moving at the same speed as object y.
b. object x is moving four times faster than object y.
object x has traveled the same distance as object y.
d. object x has traveled twice as far as object y.
e. object x has traveled four times as far as object y.

e. Object X has traveled four times as far as object Y.

Explanation:

The distance covered by an object in uniform accelerated motion is given by:

where

u is the initial velocity

t is the time

a is the acceleration

The two objects in the problem have same initial velocity, u = 0 (since they start from rest), so we can rewrite the equation as

We see that the distance covered is proportional to the square of the time. In this problem, the two objects X and Y have same acceleration, but object X accelerates for twice the time: since , this means that the distance covered by X will be times higher that the distance covered by object Y.

lol

explanation: